Quantum Fingering of the Inverted Liquid-Crystal 4He Interface in the Field of Gravity

Burmistrov, S. N.; Dubovskii, L. B.

doi:10.1007/s10909-007-9546-z

Cited by 6 publications

(10 citation statements)

References 6 publications

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“…However, the acceleration magnitude is about ∼ 10 4 cm/s 2 ∼ 10g at the velocity ∼ 3cm/s and frequency ∼ 500Hz, g being the acceleration of gravity. This is still insufficient for overcoming the potential barrier during the oscillation half-period [12,13]. An accelerating motion can give rise to the Richtmayer-Meshkov instability [14].…”

Section: Resultsmentioning

confidence: 99%

Quantum Crystal Oscillations in a Superfluid Liquid

Tsymbalenko

2012

J Low Temp Phys

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We study the hydrodynamics of quantum 4 He crystal oscillations in a superfluid liquid with involving the dynamics of atomically rough surfaces. It is shown that, due to enhancement of the kinetic growth coefficient as the temperature lowers, the reaction force of the liquid applied to the 4 He crystal changes its character from the inertial to viscous one vanishing as T → 0. The model is confirmed by the experiments on the oscillations of the 4 He crystal within the temperature range 0.54-1.43 K at frequencies 484 and 211 Hz. A new type of hydrodynamic instability is found. The instability occurs provided that the oscillation amplitude of the velocity becomes higher than ∼ 3 cm/sec.

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Section: Resultsmentioning

confidence: 99%

Quantum Crystal Oscillations in a Superfluid Liquid

Tsymbalenko

2012

J Low Temp Phys

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“…On the whole, the spectrum of facet crystallization waves can qualitatively be described by introducing effective surface tension or stiffness dependent on both wave vector and perturbation amplitude [6]…”

Section: Simplest Type Of Wavesmentioning

confidence: 99%

“…The most distinctive feature of the smooth faceted surface from the rough one is the existence of nonanalytic cusplike behavior in the angle dependence for the surface tension, e.g., [2][3][4]. The presence of singularity leads to qualitative distinctions in a number of the phenomena at the smooth faceted crystal surface, e.g., amplitude dependence velocity of traveling waves [5], quantum fingering of the inverted liquid-crystal interface in the field of gravity [6], Rayleigh-Taylor instability with generation of crystallization waves [7].…”

Section: Introductionmentioning

confidence: 99%

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Spectrum of facet crystallization waves at smooth 4He crystal surfaces

Burmistrov

2011

Low Temperature Physics

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The wavelike processes of crystallization and melting or crystallization waves are well known to exist at the 4 He crystal surface in the rough state. Much less is known about crystallization waves for the 4 He crystal surface in the smooth well-faceted state below the roughening transition temperature. To meet the lack, we analyze here the spectrum of facet crystallization waves and its dependence upon the wavelength, perturbation amplitude, and the number of possible facet steps distributed somehow over the wavelength. All the distinctive features of facet crystallization waves from conventional waves at the rough surface result from a nonanalytic cusplike behavior in the angle dependence for the surface tension of smooth crystal facets.

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“…The presence of singularity in the behaviour of surface tension or nonzero crystal step energy results also in a number of interesting phenomena at the faceted 4 He crystal surface, e.g. amplitude-dependent velocity of traveling waves [5,6], quantum fingering of the inverted liquid-crystal interface in the field of gravity [11], Rayleigh-Taylor instability with generating the crystallisation waves [12], and electrohydrodynamical instability [13] with breaking the faceted state down.…”

Section: Introductionmentioning

confidence: 99%

On the transmission of crystallisation waves across the edge between the rough and faceted crystalline surfaces in superfluid 4He

Burmistrov

2019

Preprint

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The wavelike processes of crystallisation and melting or crystallisation waves are well-known to exist at the crystal 4 He surface in its rough state. Below the roughening transition temperature the crystal surface experiences the transition to the smooth faceted state and the crystallisation waves represent the propagation of a train of crystalline steps at the velocity depending on the crystal step height. Here we analyse the transmission and reflection of crystallisation waves propagating across the crystal edge separating the crystal surface in the rough and faceted states.

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Quantum Fingering of the Inverted Liquid-Crystal 4He Interface in the Field of Gravity

Cited by 6 publications

References 6 publications

Quantum Crystal Oscillations in a Superfluid Liquid

Quantum Crystal Oscillations in a Superfluid Liquid

Spectrum of facet crystallization waves at smooth 4He crystal surfaces

On the transmission of crystallisation waves across the edge between the rough and faceted crystalline surfaces in superfluid 4He

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